Tuesday, March 23, 2010

A note on x’s, y’s and pedagogy

Sometimes, variable names just make fall-over good sense.  Like using v for velocity, or d for distance, h for height, t for time, these are all fantastic.  Other times, variable names just get grandfathered in for no good reason.  Like, say, s for displacement (which is what, again, students ask?  oh, how far it went, ok) or m for slope, which we all use because that’s how we learned it and byGodifitwasgoodenoughformeit’sgoodenoughforyouwhippersnappers bah!  Get off my lawn!

But top of the list on bad variable names: x and y.  Oh yes, my venerable variables, for teaching you are atrocious.  Know why?  Because nothing starts with x or y! X-ray machines?  Xylophones?  Xtra clean socks?  Yellow submarines?  Yearly physicals?  Youtube videos?  None of these are any good at all for trying to explain to someone why 3x+2y is neither 5x, 5y, nor simply 5, or why 3-x is not 2, or 2x, or any combination in between. 

I know x and y have firmly entrenched themselves in the math psyche, and that’s likely to change about the same time you see a snowball fight in hell.  But for the love, couldn’t the first introduction to letters as variables be something simple, like a and b?  How much easier would it be to talk about apples and bananas than xylophones and yams, xeroxes and yachts, xenophobes and yurts,  xenon atoms and yeomen?

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